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3 years ago

Find the first five terms of the sequence..

Mathematics

2 answers:

Masteriza [31]3 years ago

8 0

Answer:

The Next fiver tems are - 2, -2,-8,-12,-16

Step-by-step explanation:

emmasim [6.3K]3 years ago

7 0

Answer:

2,-6,2,-6,2

Step-by-step explanation:

a1 = 2

an = -an-1 -4

Let n =2

a2 = -a1 -4 = -2-4 = -6

Let n=3

a3 = -a2 -4 = - (-6) -4 = +6 -4 = 2

Let n = 4

a4 = -a3 -4 = -2 -4 = -6

Let n=5

a5 = -a4 -4 = -(-6) -4 = +6-4 = 2

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In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys

marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0

3 years ago

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches What is the height of the tr

ExtremeBDS [4]

The height of the triangular base of the pyramid is calculated through the equation,
h = (cos x)(18 in)
where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of x is 30°. Substituting,
h = (cos 30°)(18 in)
h = 15.59 in
Thus, the height of the base is approximately 15.59 inches.

6 0

4 years ago

Read 2 more answers

Plz help me plzzzzz asap

Varvara68 [4.7K]

Answer:

2 $\frac{2}{9}$

Step-by-step explanation:

First, we will turn 5 2/5 into an improper fraction:

5 * 5 = 25 + 2 = 27/5

So they worked for 27/5 days.

We want to divide the days worked by the distance to get the unit rate of distance per day:

$\frac{12}{\frac{27}{5} } = \frac{12}{1} * \frac{5}{27}=\frac{60}{27}=\frac{20}{9}$

So our answer is 2 $\frac{2}{9}$

Hope this helps, have a great day! :D

6 0

2 years ago

1x+11y=55 substitution

STatiana [176]

Answer:

y = -1/11 + 5

Step-by-step explanation:

1x + 11y = 55

-1x -1x

11y = -1x + 55

/11 /11

y = -1/11 + 5

Hope this helps!

4 0

2 years ago

What is the formula for the area A of a trapezoid with parallel sides of length B and D, nonparallel sides of length A and C and

loris [4]

Answer:

$(B) \dfrac12H (B+D)$

Step-by-step explanation:

$\text{Area of a trapezoid }= \dfrac12 ($Sum of the parallel sides) \times $Height\\Parallel Sides = B and D\\Height =H\\Therefore:\\\text{Area of the trapezoid }= \dfrac12 (B+D) H$

The correct option is B.

4 0

4 years ago